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Finding the Fourth Proportional to 413,840.32, 620,764.80 and 331,259.20

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Solution

The fourth proportional to 413,840.32, 620,764.80 and 331,259.20 is: 496,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,840.32 : 620,764.80 = 331,259.20 : x
  2. Step 2: Convert to fraction form
    413,840.32/620,764.80 = 331,259.20/x
  3. Step 3: Cross multiply
    413,840.32x = 620,764.80 × 331,259.20
  4. Step 4: Simplify right side
    413,840.32x = 205,634,051,036.16
  5. Step 5: Solve for x
    x = 205,634,051,036.16/413,840.32
  6. Step 6: Final answer
    x = 496,892.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.